Simplify Cube Root of 140

Here we will show you step-by-step how to simplify the cube root of 140. Before we continue, note that the cube root of 140 can be written as follows:

∛140

The ∛ symbol is called the radical sign. To simplify the cube root of 140 means to get the simplest radical form of ∛140.

We start by listing the factors of 140 like so:

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140

Next, we identify the perfect cubes* from the list of factors above:

1

Since 1 is the only perfect cube above, the cube root of 140 cannot be simplified.

Although we cannot simplify the cube root of 140, we did enter the cube root of 140 into our calculator and got the following answer to the cube root of 140 in decimal form:

∛140 ≈ 5.1925

You may also be interested to know that you can write the cube root of 140 with an exponent instead of a radical like this:

∛140 = 140^⅓

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Simplify Cube Root of 141
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* List of Perfect Cubes